Properties of the Number 66510

Sixty-Six Thousand Five Hundred Ten

Basics

Value: 66509 → 66510 → 66511

Parity: even

Prime: No

Previous Prime: 66509

Next Prime: 66523

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 739

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001111001110

Octal: 201716

Duodecimal: 325A6

Hexadecimal: 103ce

Square: 4423580100

Square Root: 257.89532760404944

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle read by rows, arising in enumeration of permutations by cyclic peaks, cycles and fixed points. A216963

Even triangle n!. This table read by rows gives the coefficients of sum formulas of n-th factorials (A000142). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+3, where k=[2·n+1+(-1)^n-1]/4 and T(i,k) satisfies n! = ∑_i=1..k+3 T(i,k) * n^i-1 / (2·k-2)!. A102409

Triangle read by rows, related to Bell numbers A000110: A216963 interlaced with A217202. A217205

Conjectured list of positive numbers which are not of the form rⁱ-s^j, where r,s,i,j are integers with i>1, j>1. A66510

E.g.f. satisfies: A(A(x)) = x·exp(A(x)), where A(x) = ∑_n>=1 a(n)/(n!*2^n-1). A193341